What is (2x+sqrt(3))^2 ?

The solution to (2x+sqrt(3))^2 is 4x^2+4sqrt(3)x+3

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simplify (2x+sqrt(3))^2

simplify

(2 x + 3)^{2}

4 x^{2} + 43 x + 3

Solution steps

(2 x + 3)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(2 x + 3)^{2} = (2 x)^{2} + 2 \cdot 2 x 3 + (3)^{2}

= (2 x)^{2} + 2 \cdot 2 x 3 + (3)^{2}

(2 x)^{2} = 4 x^{2}

2 \cdot 2 x 3 = 43 x

(3)^{2} = 3

= 4 x^{2} + 43 x + 3

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4 cos (t - 2) u (t - 2)

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